Atkin-Lehner |
2- 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450br |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-37360302300 = -1 · 22 · 312 · 52 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1338,20451] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1495:8] |
Generators of the group modulo torsion |
j |
-10596741255625/1494412092 |
j-invariant |
L |
8.4997213305137 |
L(r)(E,1)/r! |
Ω |
1.117327904664 |
Real period |
R |
1.9017965298654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450bm1 |
Quadratic twists by: 5 |